Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
4th Edition
ISBN: 9780128045251
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 6, Problem 10E
To determine
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A
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formula and a similar problem.
During the 2017-2018 flu season, a random sample of 100 hospitalizations related to flu was studied. It was
later determined that 10 patients have died.
A similar study during the 2018-2019 flu season revealed that in a random sample of 80 hospitalized cases
related to flu, there were 9 deaths observed.
At 10% significance level, test the claim that the percentage of deaths in 2017-2018 is different from the
percentage of deaths in the 2018-2019 season.
Procedure: Two proportions Z Hypothesis Test
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Assumptions: (select everything that applies)
Population standard deviations are known
Population standard deviation are unknown
The number of positive and negative responses are both 5 or more for each sample
Sample sizes are both greater than 30
Independent samples
Simple random samples
Normal populations
Population standard deviation are unknown but assumed equal
Paired samples
Step 1. Hypotheses Set-Up:
HPP
Hap-P
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where p and p: are…
Hypothesis TestingA machine produces nails with a mean length of 5 cm.A sample of 25 nails has a mean of 4.9 cm and standard deviation 0.2 cm.Test at 5% significance level whether the machine is producing nails of correct length.
The marks of 10 students are: 40, 45, 45, 50, 50, 50, 55, 55, 60, 65.Find the mode.
Chapter 6 Solutions
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Ch. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Prob. 6.3PCh. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 1ECh. 6 - Prob. 2ECh. 6 - Prob. 3E
Ch. 6 - Prob. 4ECh. 6 - Prob. 5ECh. 6 - Prob. 6ECh. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - Prob. 9ECh. 6 - Prob. 10ECh. 6 - Prob. 11ECh. 6 - Prob. 12ECh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 20ECh. 6 - Prob. 21ECh. 6 - Prob. 22ECh. 6 - Prob. 23ECh. 6 - Prob. 24ECh. 6 - Prob. 25ECh. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Prob. 29E
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- Mean and MedianFind the mean and median of the numbers: 10, 12, 15, 18, 20, 25.arrow_forwardSuppose that the number of expensive goods X sold in a shop over 24 days, is Poisson random variable with rate 240, i.e. X Poisson (240), where > 0 is the expected number of sales per day and is the unknown parameter that we would like to estimate. Suppose further that can take three possible values 0₁ = 1/2, 0, 1/4 and 0₁ = 1/8, with prior probabilities 0.2, 0.5 and 0.3, respectively. Suppose now that we observe that x=10 expensive goods were sold in the last 24 days. (a) Write down the likelihood function for and find the MLE of 0. (b) Given the observed data 2 = 10, what is the posterior distribution of 0, p(0 | x= 10)? (c) What is the posterior mean for ? (d) What is the posterior standard deviation for 0? [Hint: You may use the fact if X is a random variable, then var(X) = E(X²) – [E(X)]²].arrow_forwardA machine is built to make mass-produced items. Each item made by the machine has a probability of being defective. Given the value of 0, the items are independent of each other, where is unknown and would like to estimate. Suppose has for prior distribution a Beta(a, ß) distribution, where a > 0 and 3>0. The machine is tested by producing items until the first defective occurs. Suppose that the first 12 items are not defective but the y = 13th item is defective. (a) Write down the likelihood function for 0 and find the MLE of 0. (b) Given the observed data y = 13, what is the posterior distribution of 0, p(0 | y = 13)? Take a = 1 and ẞ= 19. (c) What are the parameters of the posterior distribution? (d) What is the posterior mean for 0? (e) What is the posterior standard deviation? =arrow_forward
- Suppose that the number of expensive goods X sold in a shop over 24 days, is Poisson random variable with rate 240, i.e. X Poisson (240), where > 0 is the expected number of sales per day and is the unknown parameter that we would like to estimate. Suppose further that can take three possible values 0₁ = 1/2, 0, 1/4 and 0₁ = 1/8, with prior probabilities 0.2, 0.5 and 0.3, respectively. Suppose now that we observe that x=10 expensive goods were sold in the last 24 days. (a) Write down the likelihood function for and find the MLE of 0. (b) Given the observed data 2 = 10, what is the posterior distribution of 0, p(0 | x= 10)? (c) What is the posterior mean for ? (d) What is the posterior standard deviation for 0? [Hint: You may use the fact if X is a random variable, then var(X) = E(X²) – [E(X)]²].arrow_forward4. Suppose you are investigating the properties of three random variables called "A", "B", and "C", and you discover the following information about them: A ~ N(0,1); B ~ C~X(μc, 2), where all observations on "A" are independent, and, "B" and "C" are independent of each other. Use this information to answer the following questions. (a.) Suppose we create a new variable, "D", as: What type of distribution does "D" have? D = (b.) What are the degrees of freedom of "D" in this example? (c.) Suppose we create a new variable, "E", as: 45 E == ΣΑ i=1 What type of distribution does "E" have? (d.) What are the degrees of freedom of "E" in this example?arrow_forward23. If P(A)=0.4, P(A or B)=0.9, and P(A and B)=0.2. find P(B). A. 0.7° B. 0.3 C. -0.7 D. 0.5arrow_forward
- 6 In Statistics class, the probability that a randomly-selected student was born in India is 0.07. 10 students are independently and randomly selected. What is the probability that at least one of them was born in India? 9 a) 0.07 b) 0.93 c) 0.48 d) 0.52arrow_forwardNormal DistributionHeights of students are normally distributed with mean 170 cm and standard deviation 6 cm.Find the probability that a student’s height is between 164 cm and 176 cm.arrow_forwardBinomial DistributionA coin is tossed 6 times.Find the probability of getting exactly 4 heads.arrow_forward
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